메뉴 건너뛰기




Volumn 69, Issue 5-6, 2008, Pages 1817-1823

Existence of a solution and a positive solution of a boundary value problem for a nonlinear fourth-order dynamic equation

Author keywords

Boundary value problem; Dynamic equation; Fixed point; Solution and positive solution; Time scale

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; NONLINEAR EQUATIONS; TURBULENT FLOW;

EID: 44649182083     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.07.028     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 0002864092 scopus 로고    scopus 로고
    • Basic calculus on time scales and some of its applications
    • Agarwal R.P., and Bohner M. Basic calculus on time scales and some of its applications. Results Math. 35 (1999) 3-22
    • (1999) Results Math. , vol.35 , pp. 3-22
    • Agarwal, R.P.1    Bohner, M.2
  • 2
    • 0000990742 scopus 로고    scopus 로고
    • Sturm-Liouville eigenvalue problems on time scales
    • Agarwal R.P., Bohner M., and Wong P. Sturm-Liouville eigenvalue problems on time scales. Appl. Math. Comput. 99 (1999) 153-166
    • (1999) Appl. Math. Comput. , vol.99 , pp. 153-166
    • Agarwal, R.P.1    Bohner, M.2    Wong, P.3
  • 3
    • 0035313847 scopus 로고    scopus 로고
    • Nonlinear boundary value problems on time scales
    • Agarwal R.P., and O'Regan D. Nonlinear boundary value problems on time scales. Nonlinear Anal. 44 (2001) 527-535
    • (2001) Nonlinear Anal. , vol.44 , pp. 527-535
    • Agarwal, R.P.1    O'Regan, D.2
  • 4
    • 0036698158 scopus 로고    scopus 로고
    • Solutions to second-order three-point problems on time scales
    • Anderson D. Solutions to second-order three-point problems on time scales. J. Differential Equations Appl. 8 (2002) 673-688
    • (2002) J. Differential Equations Appl. , vol.8 , pp. 673-688
    • Anderson, D.1
  • 5
    • 0036538017 scopus 로고    scopus 로고
    • On Green's functions and positive solutions for boundary value problems on time scales
    • Atici E.M., and Guseinov G.Sh. On Green's functions and positive solutions for boundary value problems on time scales. J. Comput. Appl. Math. 141 (2002) 75-99
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 75-99
    • Atici, E.M.1    Guseinov, G.Sh.2
  • 6
    • 0001414103 scopus 로고
    • Existence and uniqueness theorems for fourth-order boundary value problems
    • Aftabizadeh A.R. Existence and uniqueness theorems for fourth-order boundary value problems. J. Math. Anal. Appl. 116 (1986) 415-426
    • (1986) J. Math. Anal. Appl. , vol.116 , pp. 415-426
    • Aftabizadeh, A.R.1
  • 8
    • 0034656481 scopus 로고    scopus 로고
    • Eigenvalue problems for nonlinear differential equations on a measure chain
    • Chyan C.J., and Henderson J. Eigenvalue problems for nonlinear differential equations on a measure chain. J. Math. Anal. Appl. 245 (2000) 547-559
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 547-559
    • Chyan, C.J.1    Henderson, J.2
  • 9
    • 84968491364 scopus 로고
    • Existence for fourth-order boundary value problem under a two-parameter nonresonance condition
    • Del Pino M.A., and Manasevich R.F. Existence for fourth-order boundary value problem under a two-parameter nonresonance condition. Proc. Amer. Math. Soc. 112 (1991) 81-86
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 81-86
    • Del Pino, M.A.1    Manasevich, R.F.2
  • 11
    • 0033834427 scopus 로고    scopus 로고
    • Positive solutions for a nonlinear differential equation on a measure chain
    • Erbe L., and Peterson A. Positive solutions for a nonlinear differential equation on a measure chain. Math. Comput. Modelling 32 5-6 (2000) 571-585
    • (2000) Math. Comput. Modelling , vol.32 , Issue.5-6 , pp. 571-585
    • Erbe, L.1    Peterson, A.2
  • 12
    • 10644261242 scopus 로고    scopus 로고
    • Second-order periodic boundary value problems on time scales
    • Gulsan Topal S. Second-order periodic boundary value problems on time scales. Comput. Math. Appl. 48 (2004) 637-648
    • (2004) Comput. Math. Appl. , vol.48 , pp. 637-648
    • Gulsan Topal, S.1
  • 13
    • 0038070293 scopus 로고    scopus 로고
    • Existence of solutions for third-order boundary value problems on a time scale
    • Henderson J., and Yin W.K.C. Existence of solutions for third-order boundary value problems on a time scale. Comput. Math. Appl. 45 (2003) 1101-1111
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1101-1111
    • Henderson, J.1    Yin, W.K.C.2
  • 14
    • 84951604495 scopus 로고
    • Analysis on measure chains-a unified approach to continuous and discrete calculus
    • Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 18 (1990) 18-56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 16
    • 0142062919 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problems
    • Liu B. Positive solutions of fourth-order two point boundary value problems. Appl. Math. Comput. 148 (2004) 407-420
    • (2004) Appl. Math. Comput. , vol.148 , pp. 407-420
    • Liu, B.1
  • 17
    • 0142061368 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problems
    • Ma R. Positive solutions of fourth-order two point boundary value problems. Ann. Differential Equations 15 (1999) 305-313
    • (1999) Ann. Differential Equations , vol.15 , pp. 305-313
    • Ma, R.1
  • 18
    • 28844434113 scopus 로고    scopus 로고
    • Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation
    • Sun J.P. Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation. Nonlinear Anal. 64 (2006) 629-636
    • (2006) Nonlinear Anal. , vol.64 , pp. 629-636
    • Sun, J.P.1
  • 19
    • 84966202860 scopus 로고
    • A uniqueness theorem for a boundary value problem
    • Usmani R.A. A uniqueness theorem for a boundary value problem. Proc. Amer. Math. Soc. 77 (1979) 327-335
    • (1979) Proc. Amer. Math. Soc. , vol.77 , pp. 327-335
    • Usmani, R.A.1
  • 20
    • 84968518888 scopus 로고
    • Fourth-order two-point boundary value problem
    • Yang Y. Fourth-order two-point boundary value problem. Proc. Amer. Math. Soc. 104 (1988) 175-180
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 175-180
    • Yang, Y.1
  • 21
    • 10644259485 scopus 로고    scopus 로고
    • Solution and positive solution for a semilinear third-order two-point boundary value problem
    • Yao Q. Solution and positive solution for a semilinear third-order two-point boundary value problem. Appl. Math. Lett. 17 (2004) 1171-1175
    • (2004) Appl. Math. Lett. , vol.17 , pp. 1171-1175
    • Yao, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.